## ALGEBRA and GEOMETRY for Middle Grades

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Question 1 |

Which digit in 6.125 is in the hundredths place?

A | 1 |

B | 2 |

C | 5 |

D | 12 |

E | 25 |

Question 2 |

The length of segment AC is 78 millimeters. If BC is 29 millimeters, then what is the length of segment AB?

A | 49 mm |

B | 59 mm |

C | 39 mm |

Question 3 |

Estimate the sum of 672 and 830 by rounding to the nearest hundred before adding.

A | 1500 |

B | 1510 |

C | 1530 |

Question 4 |

Mae-Ying bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was 18?. What was the total cost of the items?

A | $3.96 |

B | $3.14 |

C | $2.96 |

D | $2.78 |

Question 5 |

Twenty-five percent of this square is shaded. What percent of the square is not shaded?

A | 75% |

B | 25% |

C | 35% |

D | 65% |

Question 6 |

To what number is the arrow pointing?

A | 280 |

B | 286 |

C | 283 |

D | 285 |

Question 7 |

Seventy-five beans were equally divided into five pots. How many beans were in each pot?

A | 15 beans |

B | 80 beans |

C | 70 beans |

Question 8 |

What is the perimeter of this rectangle?

A | 30 in. |

B | 10 in. |

C | 20 in. |

Question 9 |

Use digits to write the number three hundred forty-three.

A | 343 |

B | 30043 |

C | 13403 |

D | 300403 |

Question 10 |

In 2 hours the 3 boys picked a total of 1347 cherries. If they share the cherries evenly, then each boy will get how many cherries?

A | 224,5 cherries |

B | 4041 cherries |

C | 449 cherries |

Question 11 |

1 $\frac{\text{3}}{\text{4}}$ + 1 $\frac{\text{3}}{\text{4}}$

A | 3$\frac{\text{1}}{\text{2}}$ |

B | 2$\frac{\text{3}}{\text{4}}$ |

C | 2$\frac{\text{6}}{\text{8}}$ |

Question 12 |

460

x

x

__9__A | 3940 |

B | 4154 |

C | 4140 |

Question 13 |

Use digits to write eight hundred eighteen thousand, eighty.

A | 80018000,80 |

B | 81880 |

C | 818,080 |

Question 14 |

Write the number twenty-one and five hundredths.

A | 21.05 |

B | 21.5 |

C | 21500 |

D | 21005 |

Question 15 |

This rectangle is half as wide as it is long.
What is the perimeter of the rectangle?

A | 10 cm |

B | 16 cm |

C | 12 cm |

Question 16 |

Robo could run 7 miles in 1 hour. At that rate, how many miles could Robo run in 3 hours?

A | 10 miles |

B | 21 miles |

C | 42 miles |

Question 17 |

Adriana’s age is $\frac{\text{1}}{\text{3}}$ of her dad’s age. If her dad is 36 years old, how old is Adriana?

A | 16 years old |

B | 12 years old |

C | 14 years old |

Question 18 |

Which digit is in the hundred-thousands place in the number 987,654,321?

A | 4 |

B | 6 |

C | 5 |

D | 7 |

Question 19 |

After paying $7.50 for a movie ticket, Salvador still had $3.75. How much money did Salvador have before paying for a ticket?

A | $11.50 |

B | $11.75 |

C | $11.25 |

Question 20 |

When three new members joined the club, the number of members increased to 28. How many members were in the club before the new members arrived?

A | 25 members |

B | 31 members |

C | 15 members |

Question 21 |

At 11:45 A.M. Jason glanced at the clock. His doctor’s appointment was in 2 $\frac{\text{1}}{\text{2}}$ hours. At what time was his appointment?

A | 14:15 A.M. |

B | 2:30 P. M. |

C | 2:15 P. M. |

Question 22 |

What are the next three terms in this counting sequence?
. . ., 2700, 2800, 2900, ____, ____, ____, . . .

A | 2901, 2902, 2903 |

B | 3000, 4000, 5000 |

C | 3000, 3100, 3200 |

Question 23 |

4.2 + 3.5 + 0.25 + 4.0

A | 11.95 |

B | 11.77 |

C | 12.15 |

Question 24 |

A square has one side that is 7 inches long. What is the area of the square?

A | 14 sq. in. |

B | 49 sq. in. |

C | 40 sq. in. |

D | 21 sq. in. |

Question 25 |

Write the number of shaded rectangles shown as a mixed number.

A | 3$\frac{\text{1}}{\text{6}}$ |

B | 3 |

C | 3$\frac{\text{2}}{\text{6}}$ |

D | 4 |

Question 26 |

The average pumpkin weighs 6 pounds. The prize-winning pumpkin weighs 324 pounds.
How many average pumpkins are in the prize-winning pumpkin weighs?

A | 54 average pumpkins |

B | 50 average pumpkins |

C | 14 average pumpkins |

Question 27 |

In an auditorium there are 25 rows with 18 chairs in each row. How many chairs are in the
auditorium?

A | 455 chairs |

B | 43 chairs |

C | 450 chairs |

Question 28 |

Find the sixth number in this counting sequence: 7, 14, 21, . . .

A | 42 |

B | 22 |

C | 28 |

D | 34 |

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